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Finding the Fourth Proportional to 11,296.38, 16,955.09 and 5,753.90

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Solution

The fourth proportional to 11,296.38, 16,955.09 and 5,753.90 is: 8,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.38 : 16,955.09 = 5,753.90 : x
  2. Step 2: Convert to fraction form
    11,296.38/16,955.09 = 5,753.90/x
  3. Step 3: Cross multiply
    11,296.38x = 16,955.09 × 5,753.90
  4. Step 4: Simplify right side
    11,296.38x = 97,557,864.54
  5. Step 5: Solve for x
    x = 97,557,864.54/11,296.38
  6. Step 6: Final answer
    x = 8,636.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.